Question
Download Solution PDFa + b + c = 14, ab + bc + ca = 47 మరియు abc = 15 అయితే 3 + b 3 +c 3 విలువను కనుగొనండి.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFఇవ్వబడినది:
a + b + c = 14, ab + bc + ca = 47 మరియు abc = 15
ఉపయోగించవలసిన కాన్సెప్ట్:
a³ + b³ + c³ - 3abc = (a + b + c) × [(a + b + c)² -3(ab + bc + ca)]
గణన:
a³ + b³ + c³ - 3abc = 14 × [(14)² - 3 × 47]
⇒ a³ + b³ + c³ – 3 × 15 = 14(196 – 141)
⇒ a³ + b³ + c³ = 14(55) + 45
⇒ 770 + 45
⇒ 815
∴ సరైన సమాధానం ఎంపిక 1.
Last updated on Jul 21, 2025
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